Results 1 to 10 of about 45 (42)

Smooth affine group schemes over the dual numbers [PDF]

Épijournal de Géométrie Algébrique, 2019
We provide an equivalence between the category of affine, smooth group schemes over the ring of generalized dual numbers $k[I]$, and the category of extensions of the form $1 \to \text{Lie}(G, I) \to E \to G \to 1$ where G is an affine, smooth group ...
Matthieu ROMAGNY, Dajano Tossici
doaj   +1 more source

Periodic balanced binary triangles [PDF]

Discrete Mathematics & Theoretical Computer Science, 2017
A binary triangle of size $n$ is a triangle of zeroes and ones, with $n$ rows, built with the same local rule as the standard Pascal triangle modulo $2$.
Jonathan Chappelon
doaj   +1 more source

Symptom and syndrome analysis of categorial series, logical principles and forms of logic

, 2010
The calculation of variables of one metering type by the variables of others metering types as the process leads to the forms of logic which are described by means of the collineation group of the projective geometry.
Nina Alexeyeva, Gracheva, Polina, Alexeyeva, Nina, Ekaterina Podkhalyuzina, Usevich, Konstantin, Andrey Alexeyev, Alexeyev, Andrey, Podkhalyuzina, Ekaterina, Polina Gracheva, Konstantin Usevich   +9 more
core   +1 more source

Analytic curves in algebraic varieties over number fields

, 2009
55 pages; to appear in Algebra, Arithmetic, and Geometry: In Honor of Y.i. Manin, Y. Tschinkel & Yu. Manin editors, Birkhäuser, 2009.We establish algebraicity criteria for formal germs of curves in algebraic varieties over number fields and apply them to
Chambert-Loir, Antoine, Antoine Chambert-Loir, Bost, Jean-Benoît, Jean-Benoît Bost   +3 more
core   +1 more source

Trace zero varieties in cryptography : optimal representation and index calculus [PDF]

, 2014
The trace zero variety associated to an elliptic or hyperelliptic curve is an abelian variety defined over a finite field F_q. Its F_q-rational points yield a finite group, the trace zero subgroup of the degree zero Picard group of the original curve ...
Massierer, Maike
core   +1 more source

Fermat test with Gaussian base and Gaussian pseudoprimes [PDF]

, 2015
summary:The structure of the group $(\mathbb {Z}/n\mathbb {Z})^\star $ and Fermat's little theorem are the basis for some of the best-known primality testing algorithms.
Oller Marcén, Antonio M., Grau, José María, Rodríguez, Manuel, Sadornil, Daniel, Sadornil Renedo, Daniel, Oller-Marcén, Antonio M., Grau Ribas, José María   +6 more
core   +1 more source

On the $q$-Pell sequences and sums of tails [PDF]

, 2017
summary:We examine the $q$-Pell sequences and their applications to weighted partition theorems and values of $L$-functions. We also put them into perspective with sums of tails.
Patkowski, Alexander E., Alexander E.~Patkowski   +1 more
core   +1 more source

The discrete logarithm problem over prime fields: the safe prime case. The Smart attack, non-canonical lifts and logarithmic derivatives [PDF]

, 2017
summary:We connect the discrete logarithm problem over prime fields in the safe prime case to the logarithmic ...
R. Padma, H. Gopalakrishna Gadiyar, Padma, Ramanathan, Gadiyar, Gopalakrishna Hejmadi   +3 more
core   +1 more source

Dieudonné theory for Faltings' strict ϭ-modules [PDF]

, 2005
The theory of group schemes and their liftings to mixed characteristic valuation rings is well-developed. In [Fal02], a new equi-characteristic analogue of group schemes, known as group schemes with strict ๕-action, or strict ๕-modules, was proposed and ...
Gibbons, William
core  

Transcendental equations satisfied by the individual zeros of Riemann $\zeta$, Dirichlet and modular $L$-functions

, 2015
We consider the non-trivial zeros of the Riemann $\zeta$-function and two classes of $L$-functions; Dirichlet $L$-functions and those based on level one modular forms.
França, Guilherme, LeClair, André, Guilherme França, André Leclair   +3 more
core   +1 more source